1 citations · 1 across the 4 of their papers we have counts for
5 papers
Clustering Complex Zeros of Triangular Systems of Polynomials
Rémi Imbach, Marc Pouget, Chee Yap
This paper gives the first algorithm for finding a set of natural -clusters of complex zeros of a triangular system of polynomials within a given polybox in , for…
Numeric certified algorithm for the topology of resultant and discriminant curves
Rémi Imbach, Guillaume Moroz, Marc Pouget
Let be a real plane algebraic curve defined by the resultant of two polynomials (resp. by the discriminant of a polynomial). Geometrically such a curve is the projecti…
Improved algorithm for computing separating linear forms for bivariate systems
Yacine Bouzidi, Sylvain Lazard, Guillaume Moroz +2
We address the problem of computing a linear separating form of a system of two bivariate polynomials with integer coefficients, that is a linear combination of the variables that…
Rational Univariate Representations of Bivariate Systems and Applications
Yacine Bouzidi, Sylvain Lazard, Marc Pouget +1
We address the problem of solving systems of two bivariate polynomials of total degree at most with integer coefficients of maximum bitsize . It is known that a linear separ…
Separating linear forms for bivariate systems
Yacine Bouzidi, Sylvain Lazard, Marc Pouget +1
We present an algorithm for computing a separating linear form of a system of bivariate polynomials with integer coefficients, that is a linear combination of the variables that ta…